1
MHT CET 2021 23rd September Evening Shift
+2
-0

The area of the region included between the parabolas $$y^2=8 x$$ and $$x^2=8 y$$, is

A
$$\frac{128}{3}$$ sq. units
B
$$\frac{64}{3}$$ sq. units
C
$$\frac{32 \sqrt{8}}{3}$$ sq. units
D
$$\frac{16 \sqrt{8}}{3}$$ sq. units
2
MHT CET 2021 23th September Morning Shift
+2
-0

The area bounded by the parabola $$y^2=4 a x$$ and its latus-rectum $$x=a$$ is

A
$$\frac{8}{3} a^2$$ sq. units
B
$$\frac{2}{3} a^2$$ sq. units
C
$$\frac{4}{3} a^2$$ sq. units
D
$$8 \mathrm{a}^2$$ sq. units
3
MHT CET 2021 22th September Evening Shift
+2
-0

The area bounded by the parabola $$y^2=x$$ and the line $$x+y=2$$ in the first quadrant is

A
$$\frac{7}{6}$$ sq. units
B
$$\frac{1}{6}$$ sq. units
C
$$\frac{2}{3}$$ sq. units
D
$$\frac{6}{7}$$ sq. units
4
MHT CET 2021 22th September Morning Shift
+2
-0

The area bounded between the curve $$x^2=y$$ and the line $$y=4 x$$ is

A
$$\frac{32}{3}$$ sq. units
B
$$\frac{8}{3}$$ sq. units
C
$$\frac{1}{3}$$ sq. units
D
$$\frac{16}{3}$$ sq. units
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